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Finding the Fourth Proportional to 3,496.86, 5,241.50 and 1,743.17

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Solution

The fourth proportional to 3,496.86, 5,241.50 and 1,743.17 is: 2,612.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.86 : 5,241.50 = 1,743.17 : x
  2. Step 2: Convert to fraction form
    3,496.86/5,241.50 = 1,743.17/x
  3. Step 3: Cross multiply
    3,496.86x = 5,241.50 × 1,743.17
  4. Step 4: Simplify right side
    3,496.86x = 9,136,829.94
  5. Step 5: Solve for x
    x = 9,136,829.94/3,496.86
  6. Step 6: Final answer
    x = 2,612.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.